Disclosed is an inching brake system for a working device, in particular a utility vehicle such as a wheeled loader, the brake system having a drive unit (50, 102), a brake unit (110, 103) and an actuator (2, 24), the drive unit (50, 102) and the brake unit (110, 103) being controlled, using the actuator (2, 24) to decelerate the vehicle. This deceleration is produced in a first zone (I) initially by appropriate control of the drive unit (50, 102) and in a second zone (II) jointly by the drive unit (50, 102) and the brake unit (110, 103). In order to make the two zones recognizable on the actuator (2, 24) to the operator, the brake system is fitted with a pressure-point device (12) by means of which one or more pressure points can be simulated which indicate the transition to the different braking zones (I, II).